In a shop, the number of cartons of grapefruit juice sold was
13 the number of cartons left. When 53 more cartons were sold, the total number of cartons sold was 10 less than
710 the number of cartons the shop had at first. How many cartons were left?
|
Sold |
Left |
Total |
Before |
1x5 = 5 u |
3x5 = 15 u |
4x5 = 20 u
|
Change |
+ 53 |
- 53 |
|
After |
5 u + 53 |
15 u - 53 |
20 u |
Comparing the total number of cartons sold and the total number of cartons at first |
7x2 - 10 = 14 u - 10 |
|
10x2 = 20 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 4 and 10 is 20.
The number of cartons sold in the end is repeated.
14 u - 10 = 5 u + 53
14 u - 5 u = 53 + 10
9 u = 63
1 u = 63 ÷ 9 = 7
Number of cartons left
= 15 u - 53
= 15 x 7 - 53
= 105 - 53
= 52
Answer(s): 52